a. Find g'(x). A root of the equation g(x) = 0 lies in the interval [6.5,

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a. Find g'(x).

A root α of the equation g(x) = 0 lies in the interval [6.5, 6.7]. 

b. Taking 6.6 as a first approximation to α, apply the Newton–Raphson process once to g(x) to obtain a second approximation to α. Give your answer to 3 decimal places.

c. Given that g(1) = 0, find the exact value of the other two roots of g(x).  

d. Calculate the percentage error of your answer in part b.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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